Given, the number of bacteria doubles every hour. Hence, the number of bacteria after every hour will form a G.P.
Here we have, a = 30 and r = 2
So, a3 = ar2 = (30) (2)2 = 120
Thus, the number of bacteria at the end of 2nd hour will be 120.
And, a5 = ar4 = (30) (2)4 = 480
The number of bacteria at the end of 4th hour will be 480.
an +1 = arn = (30) 2n
Therefore, the number of bacteria at the end of nth hour will be 30(2)n.
Answered by Abhisek | 1 year agoConstruct a quadratic in x such that A.M. of its roots is A and G.M. is G.
Find the geometric means of the following pairs of numbers:
(i) 2 and 8
(ii) a3b and ab3
(iii) –8 and –2
Insert 5 geometric means between \( \dfrac{32}{9}\) and \( \dfrac{81}{2}\).